Bernstein-Sato polynomials of arbitrary varieties
| dc.creator | Budur, Nero | |
| dc.creator | Mustata, Mircea | |
| dc.creator | Saito, Morihiko | |
| dc.date | 2004-08-30 | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:08Z | |
| dc.date.available | 2026-07-07T06:18:08Z | |
| dc.description | We introduce the notion of Bernstein-Sato polynomial of an arbitrary variety (which is not necessarily reduced nor irreducible), using the theory of V-filtrations of M. Kashiwara and B. Malgrange. We prove that the decreasing filtration by multiplier ideals coincides essentially with the restriction of the V-filtration. This implies a relation between the roots of the Bernstein-Sato polynomial and the jumping coefficients of the multiplier ideals, and also a criterion for rational singularities in terms of the maximal root of the polynomial in the case of a reduced complete intersection. These are generalizations of the hypersurface case. We can calculate the polynomials explicitly in the case of monomial ideals. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408408 | |
| dc.identifier | http://arxiv.org/abs/math/0408408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94631 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 32S40 | |
| dc.title | Bernstein-Sato polynomials of arbitrary varieties | |
| dc.type | text |